lanaeroyal18 lanaeroyal18
  • 24-02-2020
  • Mathematics
contestada

Determine which postulate or theorem can be used to prove that
ALMN= APMN.
ОА. sss
O B. SAS
Ос. AAS
OD. SSA

Determine which postulate or theorem can be used to prove that ALMN APMN ОА sss O B SAS Ос AAS OD SSA class=

Respuesta :

shilpa85475 shilpa85475
  • 03-03-2020

Option B:

SAS postulate or theorem can be used to prove  ΔLMN ≅ ΔPMN.

Solution:

Given [tex]\triangle L M N \cong \triangle P M N[/tex].

Consider ΔLMN and ΔPMN,

LN ≅ PN (Given sides)

∠LNM ≅ ∠PNM (given angles)

MN ≅ MN (Reflexive property of sides)

Therefore, by Side-Angle-Side (SAS) congruence rule,

ΔLMN ≅ ΔPMN

Hence SAS postulate or theorem can be used to prove  ΔLMN ≅ ΔPMN.

Option B is the correct answer.

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